Wave Mechanics of a Two Wire Atomic Beamsplitter

Abstract

We consider the problem of an atomic beam propagating quantum mechanically through an atom beam splitter. Casting the problem in an adiabatic representation (in the spirit of the Born-Oppenheimer approximation in molecular physics) sheds light on explicit effects due to non-adiabatic passage of the atoms through the splitter region. We are thus able to probe the fully three dimensional structure of the beam splitter, gathering quantitative information about mode-mixing, splitting ratios,and reflection and transmission probabilities.

References in corpus (10)

• Realization of Bose-Einstein condensates in lower dimensions
• Guiding Neutral Atoms
• A Beam Splitter for Guided Atoms on an Atom Chip
• Guiding neutral atoms around curves with lithographically patterned current-carrying wires
• Guiding Neutral Atoms with a Wire
• A Storage Ring for Neutral Atoms
• A two wire waveguide and interferometer for cold atoms
• Bose-Einstein condensates near a microfabricated surface
• A waveguide atom beamsplitter for laser-cooled neutral atoms
• Wave function recombination instability in cold atom interferometers

Cited by in corpus (11)

• Classical aspects of ultracold atom wavepacket motion through microstructured waveguide bends
• Optically guided beam splitter for propagating matter waves
• Limits to phase resolution in matter wave interferometry
• Nonadiabatic couplings and gauge-theoretical structure of curved quantum waveguides
• Three Bosons in One Dimension with Short Range Interactions I: Zero Range Potentials
• Double-Slit Interferometry with a Bose-Einstein Condensate
• Theoretical study of a cold atom beam splitter
• Controlled splitting of an atomic wave packet
• Quantum dynamics of magnetically controlled network for Bloch electrons
• Controlled deflection of cold atomic clouds and of Bose-Einstein condensates
• Transverse excitations of ultracold matter waves upon propagation past abrupt waveguide changes